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Finding the Fourth Proportional to 143,086.41, 214,631.10 and 43,247.43

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Solution

The fourth proportional to 143,086.41, 214,631.10 and 43,247.43 is: 64,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,086.41 : 214,631.10 = 43,247.43 : x
  2. Step 2: Convert to fraction form
    143,086.41/214,631.10 = 43,247.43/x
  3. Step 3: Cross multiply
    143,086.41x = 214,631.10 × 43,247.43
  4. Step 4: Simplify right side
    143,086.41x = 9,282,243,473.07
  5. Step 5: Solve for x
    x = 9,282,243,473.07/143,086.41
  6. Step 6: Final answer
    x = 64,871.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.